A box shaped like a rectangular prism has a height of 17 in and a volume of 2,720 in³ The length is 4 inches greater than twice the width. What is the width of the box?

Question

Leon Alvarez

Mathematics

17 September, 00:21

A box shaped like a rectangular prism has a height of 17 in and a volume of 2,720 in³ The length is 4 inches greater than twice the width. What is the width of the box?

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Answers (1)

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Ana Bright · Answer 1

The volume of a rectangular prism is v = LxWxH. We have the height, H = 17, L = 4+2W and w as is. Multiply them each

(4+2W) (W) (17) = 2720

34w2 + 68w = 2720

34w2+68w-2720=0

You want to solve for w. Divide the equation by 34 getting:

w2+2w-80=0

Then factor the equation, (w+10) (w-8) = 0 w=8

Then the weight is 8 inches